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Finding the Fourth Proportional to 109,356.94, 164,035.42 and 26,250.94

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Solution

The fourth proportional to 109,356.94, 164,035.42 and 26,250.94 is: 39,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356.94 : 164,035.42 = 26,250.94 : x
  2. Step 2: Convert to fraction form
    109,356.94/164,035.42 = 26,250.94/x
  3. Step 3: Cross multiply
    109,356.94x = 164,035.42 × 26,250.94
  4. Step 4: Simplify right side
    109,356.94x = 4,306,083,968.29
  5. Step 5: Solve for x
    x = 4,306,083,968.29/109,356.94
  6. Step 6: Final answer
    x = 39,376.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.